This paper studies the representation of a non-negative polynomial f on a non-compact semi-algebraic set K modulo its KKT (Karush-KuhnTucker) ideal. Under the assumption that f satisfies the boundary Hessian conditions (BHC) at each zero of f in K; we show that f can be represented as a sum of squares (SOS) of real polynomials modulo its KKT ideal if f ≥ 0 on K.

We determine explicitly the formal moduli space of certain complete topological modules over a topologically finitely generated local k-algebra R, not necessarily commutative, where k is a field. The class of topological modules we consider include all those of finite rank over k and some of infinite rank as well, namely those with a Schauder basis in the sense of §1. This generalizes the resul...

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Twelve individuals (three women and nine men) offered submissions for the Dissertation Session. One, alas, was written in German, a language which I cannot read. Mattbias Kipping wrote his abstract in English, however, and I thought he topic was significant; BHC President Ed Perkins agreed, and placed Kipping in another session. His paper, "Competing for Dollars and Technology: The United State...

INTRODUCTION As behavioral health providers integrate into primary health care clinics, it is important to examine methods used to increase primary care providers' (PCPs) knowledge of behavioral health providers' areas of expertise and service provision. Attention-deficit/hyperactivity disorder (ADHD) has been identified as one of the most common behavioral health disorders PCPs diagnose and tr...

Perovskite-type oxides of LaFe(1+x)O(3+δ) (x = 0.0, 0.2, 0.5 and 0.7) were synthesized by citrate sol–gel methodto ensure the formation of nanosized perovskites. The physicochemical properties of these LaFe(1+x)O(3+δ)materials were characterized by thermal gravimetric/differential analyses, Fourier transform infraredspectroscopy, X-ray powder diffraction, scanning electron and...

Zinc coating is formed by the heterogeneous assembly of the Γ, Γ1, δ, ζ and η phases whose mechanical properties greatly differ from each other. Thermal strains resulting from large differences between thermal expansion coefficients are partially relaxed by the formation of a crack network. In order to model this phenomenon, initial hardness, thermal expansion coefficient αi and toughness (KIC)...